AIPMT | 2014Nuclear Physics and RadioactivityMedium
Question
A radio isotope X with a half life 1.4 × 109 years decays of Y which is stable. A sample of the rock from a cave was found to contain X and Y in the ratio 1 : 7.
The age of the rock is
The age of the rock is
Options
A.1.96 × 109 years
B.3.92 × 109 years
C.4.20 × 109 years
D.8.40 × 109 years
Solution
X : Y = 1 : 7
X : (X + Y) = 1 : 8 = 1 : 23
⇒ 3 half life
∴ ᐃT = 3 × 1.4 × 109 yrs = 4.2 × 109 yrs.
X : (X + Y) = 1 : 8 = 1 : 23
⇒ 3 half life
∴ ᐃT = 3 × 1.4 × 109 yrs = 4.2 × 109 yrs.
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